Geodesic
A Varifolds Representation of the Relaxed Elastica Functional
Journal of convex analysis, Tome 14 (2007) no. 3, pp. 543-564 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We prove a new representation result for the L1-lower semicontinuous envelope of the elastica functional in terms of a minimum problem over a suitable class of varifolds. We also show a representation result in a suitable class of Sobolev-type submanifolds.
Mots-clés : Varifolds, representation result, L-1-lower semicontinuous envelope, elastica functional, minimum problem, Sobolev-type submanifolds 
@article{JCA_2007_14_3_JCA_2007_14_3_a4,
     author = {G. Bellettini and L. Mugnai},
     title = {A {Varifolds} {Representation} of the {Relaxed} {Elastica} {Functional}},
     journal = {Journal of convex analysis},
     pages = {543--564},
     year = {2007},
     volume = {14},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a4/}
}
TY  - JOUR
AU  - G. Bellettini
AU  - L. Mugnai
TI  - A Varifolds Representation of the Relaxed Elastica Functional
JO  - Journal of convex analysis
PY  - 2007
SP  - 543
EP  - 564
VL  - 14
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a4/
ID  - JCA_2007_14_3_JCA_2007_14_3_a4
ER  - 
%0 Journal Article
%A G. Bellettini
%A L. Mugnai
%T A Varifolds Representation of the Relaxed Elastica Functional
%J Journal of convex analysis
%D 2007
%P 543-564
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a4/
%F JCA_2007_14_3_JCA_2007_14_3_a4
G. Bellettini; L. Mugnai. A Varifolds Representation of the Relaxed Elastica Functional. Journal of convex analysis, Tome 14 (2007) no. 3, pp. 543-564. http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a4/